212233010000 has 200 divisors, whose sum is σ = 561468197664. Its totient is φ = 77049280000.

The previous prime is 212233009997. The next prime is 212233010021. The reversal of 212233010000 is 10332212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90968834 + ... + 90971166.

Almost surely, 2^212233010000 is an apocalyptic number.

212233010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212233010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280734098832).

212233010000 is an abundant number, since it is smaller than the sum of its proper divisors (349235187664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212233010000 is a wasteful number, since it uses less digits than its factorization.

212233010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 212233010000 its reverse (10332212), we get a palindrome (212243342212).

The spelling of 212233010000 in words is "two hundred twelve billion, two hundred thirty-three million, ten thousand".